Optical simulation of quantum algorithms using programmable liquid-crystal displays

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 69, Issue 4, 2004, Pages

  Puentes, Graciana ^a   La Mela, Cecilia ^a   Ledesma, Silvia ^a   Iemmi, Claudio ^a   Paz, Juan Pablo ^a,b   Saraceno, Marcos ^c  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

^c LABORATORIO TANDAR   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

ABERRATIONS; ABSORPTION; ALGORITHMS; CHARGE COUPLED DEVICES; COMPUTER SIMULATION; DATA PROCESSING; ELECTRIC FIELDS; ERROR ANALYSIS; FOURIER TRANSFORMS; LASER BEAM EFFECTS; LIGHT MODULATION; LIQUID CRYSTAL DISPLAYS; PHASE MODULATION; PROBABILITY;

OPTICAL SIMULATION; QUANTUM ALGORITHMS; QUANTUM BITS; UNITARY OPERATORS;

QUANTUM THEORY;

EID: 2942528903     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.69.042319     Document Type: Article

References (15)

1. Quantum Information and Computation, edited by M. Nielsen and I. Chuang (Cambridge University Press, Cambridge, 2000).
2. R. J. C. Spreeuw, Found. Phys. 28, 361 (1998).
3. R. J. C. Spreeuw, Phys. Rev. A 63, 062302 (2001).
4. N. J. Cerf, C. Adami, and P. G. Kwait, Phys. Rev. A 57, R1477 (1998).
5. P. Kwiat, J. Mitchell, P. Schwindt, and A. White, J. Mod. Opt. 47, 257 (2000).
6. N. Bhattacharya, H. B. van Linden van den Heuvell, and J. R. C. Spreew, Phys. Rev. Lett. 88, 137901 (2002).
7. R. Blume-Kohout, C. M. Caves, and I. H. Deutsch, Found. Phys. 32, 1641 (2002).
8. L. K. Grover, Phys. Rev. Lett. 79, 325 (1997).
9. In the original presentation of both algorithms Hadamard transforms are used instead of Fourier transforms. However, in both cases these transformations can be interchanged with no alterations. Moreover, they can be implemented with a lens which performs a 2D Fourier transform. In the case of general algorithms (or maps) one can use lenses to implement the unidimensional Fourier transform provided one uses a spatial encoding of states which is translation invariant along one axis.
10. A. Marquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, Opt. Eng. 40, 2558 (2001).
11. G. L. Long, Y. S. Li, W. L. Zhang, and L. Niu, Phys. Lett. A 262, 27 (1999); P. Hoyer, Phys. Rev. A 62, 052304 (2000).
12. G. L. Long, Y. S. Li, W. L. Zhang, and L. Niu, Phys. Lett. A 262, 27 (1999); P. Hoyer, Phys. Rev. A 62, 052304 (2000).
13. J. Nicolás, J. Campos, C. Iemmi, J. Moreno, and M. J. Yzuel, Appl. Opt. 41, 1505 (2002).
14. J. H. Hannay, M. V. Berry, Physica D 1, 267 (1980); J. H. Hannay and J. P. Keating, and A. Ozorio de Almeida, Nonlinearity 7, 1327 (1994).
15. J. H. Hannay, M. V. Berry, Physica D 1, 267 (1980); J. H. Hannay and J. P. Keating, and A. Ozorio de Almeida, Nonlinearity 7, 1327 (1994).